Question

помогите пожалуйста, срочно

Answer 1

Ответ:

1

$y' = - \sin(x) + ln(3) \times {3}^{x}$

2

$y- = \frac{1}{ ln(8) \times x}$

3

$y' = 4 {x}^{3} - 5 \times ( - 3) {x}^{4} - 0 = \\ = 4 {x}^{3} + \frac{15}{ {x}^{4} }$

4

$y '= ( {x}^{2} - 1) '\times (3x - 7) + (3x - 7)' \times ( {x}^{2} - 1) = \\ = 2x(3x - 7) + 3( {x}^{2} - 1) = \\ = 6 {x}^{2} - 14x + 3 {x}^{2} - 3 = \\ = 9 {x}^{2} - 14x - 3$

5

$y' = (x - 5)'(x + 1) + (x + 1)'(x - 5) = \\ = x + 1 + x - 5 = 2x - 4$

6

$y '= \frac{(2x + 5)'(x - 4) - (x - 4)'(2x + 5)}{ {(x - 4)}^{2} } = \\ = \frac{2(x - 4) - (2x + 5)}{ {(x - 4)}^{2} } = \frac{2x - 8 - 2x - 5}{ {(x - 4)}^{2} } = \\ = \frac{ - 13}{ {(x - 4)}^{2} }$